Using the order of operations, what should be done first to evaluate 6 + StartFraction (negative 5 minus 7) over 2 EndFraction minus 8 (3)?
Group of answer choices

Subtract 7 from –5.

Multiply 8 and 3.

Divide 7 by 2.

Add 6 and –5.

In a picture we have a triangle with 3 sides. Sides are a,8 and 2. The side a=2[tex]\sqrt{15}[/tex].

Given that,

In a picture we have a triangle with 3 sides.

sides are a,8 and 2.

by using Pythagorean theorem

The Pythagorean Theorem, generally referred to as Pythagoras' Theorem, is a basic relationship between a right triangle's three sides. The Pythagorean theorem states that, given a right triangle, which is a triangle in which one of the angles is 90 degrees, the hypotenuse, the right triangle's longest side, forms a square whose area is equal to the sum of the areas of its other two sides.

In other words, given that the triangle's longest side, c, is also its hypotenuse and that sides a and b are its other two sides:

a² + b² = c²

a²+(2)²=8²

a²+4=64

a²=64-4

a²=60

Take root on both sides

[tex]\sqrt{a^{2} } =\sqrt{60}[/tex]

a=2[tex]\sqrt{15}[/tex]

Therefore, the side a=2[tex]\sqrt{15}[/tex].

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Answer:

57 Months

Step-by-step explanation:

Should take 57 months. Simple division, just divide 12,825 and 225 and you end up with 57 months.  4 years and 9 months simplified. Hope this helps.

Answer:

42

Step-by-step explanation:

1473 - 1389 is 84

84/2 is 42

The answer is - 17

here, we have to apply BODMAS rule

given ,- 22 + (10) = 15

            = - 22 - 10 + 15

           = -32 + 15

           = - 17

BODMAS is an acronym for the sequence of operations to be performed while simplifying the mathematical expressions.

B=Brackets

O=Off

D=Division

M=Multiplication

A=Addition

S=Subtraction

The four basic Mathematical rules are addition, subtraction, multiplication, and division.

Basic math skills are those that involve making calculations of amounts, sizes or other measurements. Core concepts like addition, subtraction, multiplication and division provide a foundation for learning and using more advanced math concepts.

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The volume of the fiberglass shell is nearly = 508.2 in³

Volume is just a three-dimensional quantity used to determine a solid shape's capacity. It indicates that the volume of a closed figure decides how much of three-dimensional space it can occupy.

The capa.city of an object is measured by its volume. A cup's volume is 100 ml if it can carry 100 ml of water higher than or equal to the brim. A 3-dimensional object's volume can alternatively be described as the amount much space it takes up.

Cube side are 11 inches.

cube is covered with a coat of fiber glass 0.1 inch

need to find the volume of fiberglass.

area of cube = 6(11)²

                     = 6(121)

                     = 726 inch².

thickness of fiberglass = 0.7 inch.

dv ≅ ads

= 726(0.7)

= 508.2 in³

The volume of the fiberglass shell is nearly = 508.2 in³.

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Answer:

628/1300

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer to number 1 is a slope of -3 and the y=-3x-26 For number 2 the slope is 5 and y=5x+5 and for number 3 the slope is 2/3 and b is y=2/3x-20/3 for number 4 its 4 in the x section and 5 for the y section number 5 is --5 and for number 6 its -12. I found the slopes by using this formula y2-y1/x2-x1 and for the b I used y=mx+b and used one of the points to figure it out! I hope this helped out :3

1.21948

2.5345

4.305

5.94

9.1

Answer:

x = −10

Step-by-step explanation:

8x−2(x+1)=7x+8

Step 1: Simplify both sides of the equation.

8x−2(x+1)=7x+8

8x+(−2)(x)+(−2)(1)=7x+8(Distribute)

8x+−2x+−2=7x+8

(8x+−2x)+(−2)=7x+8(Combine Like Terms)

6x+−2=7x+8

6x−2=7x+8

Step 2: Subtract 7x from both sides.

6x−2−7x=7x+8−7x

−x−2=8

Step 3: Add 2 to both sides.

−x−2+2=8+2

−x=10

Step 4: Divide both sides by -1.

−x/−1 = 10/−1

x=−10

Given the values of the volume and radius, the height of the cone is 15 inches.

A cone is simply a 3-dimensional geometric shape with a flat base and a curved surface pointed towards the top.

The volume of a cone is expressed as;

V = (1/3)πr²h

Given the data in the question;

Plug in the given values and solve for h.

V = (1/3)πr²h

h = 3V / πr²

h = ( 3 × 405π in³ )/( π × (9in)²

h = ( 3 × 405 in³ )/( 81 in² )

h = ( 1215 in³ )/( 81 in² )

h = 15 inches

Given the values of the volume and radius, the height of the cone is 15 inches.

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Type of rotation of Anticlockwise and clockwise .

A point in coordinate geometry can be rotated through 180 degrees around the origin by drawing an arc with a radius equal to the distance between the provided point's coordinates and the origin, and then extending an angle of 180 degrees at the origin.

The point must be rotated around the origin with regard to its location in the cartesian plane. It is nicely explained in the next part of the 180-degree rotation formula.

The formula for 180-degree rotation of a given value is as follows: if R(x, y) is a point that has to be rotated around the origin, then coordinates of R(x, y) .

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Step-by-step explanation:

Answer: 8 and 9

Step-by-step explanation: 51768 ÷ 9 = 5752

51768 ÷ 8 = 6471

Answer:

9

Step-by-step explanation:

The digits of 51768 add up to a multiple of 9

Using proportions, it is found that:

a) 36 pages should be of advertising and 12 pages should be of news stories.

b) 20 pages should be of retail advertising, 12 pages should be of national advertising and 4 pages should be of classified advertising.

c) $450,000 was earned by retail advertising, $270,000 was earned by national advertising and $90,000 was earned by classified advertising.

d) You will receive a bonus of $14,400 for last year's sales.

A proportion is a fraction of a total amount, and equations can be built to find the measures using a rule of three, that can be either direct or inverse, deriving from proportional relationships.

One example of application is for ratio problems, as fractions of the total amount are built from the ratios, as given in this problem.

For item a, we have that three times as much advertising as news stories are needed, hence 3/4 of the 48 pages are advertising, hence:

3/4 x 48 = 0.75 x 48 = 36.

Hence:

The remaining 12 are of news stories.

For item b, from the ratio of 5 to 3 to 1, we have that:

Hence:

In item c, from the same ratio as above, the advertising values are found as follows:

For item d, the bonus is calculated as follows:

1/50(450,000 + 90,000) + 1/75(270,000) = $14,400.

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Answer

I disagree

she said that the square root of 100 and of 121 is 4 and 5

the square root of 100 is 10 and the square root of 121 is 11.

Answer:

Mika worked for 25 hours.

Todd worked for 15 hours.

Answer:

Step-by-step explanation: These two angles are congruent because most of the points are opposite of each other. For example Angle R is congruent to Angle V and Angle T is congruent to Angle U. Another thing about vertical angles is that they must always equal each other.

Based on the deck of cards containing blue cards and red cards, drawing Red 5 is an example of:

Red 5 is both a red number and an odd number. This means that if B or O are picked, Red 5 will be picked as it is an odd number.

If the event calls for R or E to be picked as well, Red 5 will also be picked as it is Red. If event O' is picked, then Red 5 will be picked again because it is odd.

In conclusion, Red 5 is an example of the events, "B or O," "R or E," and "O.'"

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The distance that the plane flies between the two cities is 2475 miles.

Velocity is the rate of distance covered per time. Velocity could be average or instantaneous.

For example, if a car drives 50 meters for 10 seconds and it is constant then 50/10 = 5 meters/second will be the velocity.

Time taken = distance covered / velocity

In the first case ;

Time taken = 5 hour.

Velocity = V(Let's say)

Distance covered = x

So,

5 = x/V

x = 5V

Now,

In the second case ;

Velocity = V - 99 (99 slower to first)

Time taken =  6 hours and 15 minutes = 6.25 hour

Distance covered = x

So,

6.25 = x/(V - 99)

x = 6.25V - 618.75

By equating

6.25V - 618.75 = 5V

1.25V = 618.75

V = 495 miles / hour

Now,

x = 5(495) = 2475 miles.

Hence "The distance that the plane flies between the two cities is 2475 miles".

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The length of the first, second, third pieces of sidings are 8 ft, 24ft and 32 ft respectively.

The 64 ft piece of siding is cut into three pieces so that the second piece is  three times as long as the first piece and the third piece is four times as long as the first piece.

The length of the three pieces of siding can be found as follows:

x = length of the first piece

Therefore,

Second piece = 3x

Third piece = 4x

Hence,

x + 3x + 4x = 64

8x = 64

divide both sides by 8

x = 64 / 8

x = 8

Therefore, the length of all the pieces are as follows;

First piece = 8 ft

Second piece = 3(8) = 24 ft

Third piece = 4(8) = 32 ft

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Answer:

(V - U) - 10

Step-by-step explanation:

The equation of a line that passes through the given point (4, 3) and is perpendicular to y = 2x + 2 is given by: y = -x/2 + 5.

The slope of a line simply refers to the gradient of a line and it's typically used to describe both the ratio, direction and steepness of an equation of a straight line.

Mathematically, the standard form of the equation of a straight line is given by;

y = mx + c

Where:

y = mx + c ≡  y = 2x + 2

m₂ = 2

For perpendicularity, we have:

m₁ × m₂ = -1

m₁ × 2 = -1

m₁ = -1/2.

Next, we would use the point-slope form to write the equation of this line at point (4, 3):

y - y₁ = m(x - x₁)

y - 3 = -1/2(x - 4)

y - 3 = -x/2 + 2

y = -x/2 + 2 + 3

y = -x/2 + 5.

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Complete Question:

Write an equation for a line perpendicular to y = 2x + 2 and passing through the point (4, 3).

Answer:

it equals 57,400

Step-by-step explanation:

your multiplying 820 into 70 hours

Answer:

unlimited is the weight

Step-by-step explanation:

Weight : 58283624946946784640469267619046404.4691649469464846404694956596894

The required solution of the given expression is F(3)=16.

A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given:

The given in the function

F(x)=x²+7

According to given question we have

The function

F(x)=x²+7

At x=3 we get

F(3)=3²+7

F(3)=9+7

F(3)=16

Therefore, the required solution of the given expression is F(3)=16.

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Thus the domain is 0 ≤ Domain ≤ 28 and the range is 0 ≤ range ≤ 150.

A function defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

The independent variable = domain

The dependent variable = Range

We are given a graph where the x-axis contains the radius value and the y-axis contains the circumference value.

We can write the function as:

f(x) where x can be 4, 8, 12, 16, 20, 24, 28, 32, 36

f(0) = 0

f(4) = 22.5

f(8) = 52.5

f(12) = 75

f(16) = 105

f(20) = 127.5

f(24) = 150

The domain is between 0 to 150 and the range is between 0 and 28.

Thus the domain is 0 ≤ Domain ≤ 28 and the range is 0 ≤ range ≤ 150.

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The maximum value of f(4) will be 23.

What is Mean value theorem?

Mean value theorem states that if a function f is continuous on the closed interval [a ,b] and differentiable on the open interval (a ,b), then there exists a point c in the interval (a, b) such that f'(c) is equal to the function's average rate of change over [a, b].

That is;   [tex]f'(c) = \frac{f((b) - f(a)}{b - a}[/tex]

Given that;

⇒ f(0) = -1 and f′(x) ≤ 6 for all values of x.

Now, According to Mean value theorem;

[tex]f'(x) = \frac{f(4) - f(0)}{4 - 0}[/tex]

Since, f′(x) ≤ 6

Hence,

[tex]f'(x) \leq 6\\\\ \frac{f(4) - f(0)}{4 - 0}\leq 6\\\\ f(4) -(-1) \leq 24\\\\f(4) \leq 23[/tex]

So, The maximum value of f(4) will be 23.

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